Question

Perimeter of a sector​

Answer 1

Answer:

The formula for the perimeter of the sector of a circle is given below :

Step-by-step explanation:

Perimeter of sector = radius + radius + arc length

Perimeter of sector = 2 radius + arc length

Arc length is calculated using the relation :

Arc length = l = (θ/360)  × 2πr

Therefore,

Perimeter of a Sector = 2 Radius + ((θ/360)  × 2πr )

Answer 2

Answer:

27.89 cm

Step-by-step explanation:

The formula to find the perimeter of a sector is:

$P = \frac{\theta}{360} *2\pi r+2r$

Here,

r ⇒ radius ⇒ 4 cm

Θ ⇒ angle ⇒ 285°

Let us solve it now.

$P = \frac{\theta}{360} *2\pi r+2r\\\\P = \frac{285}{360} *2*\pi*4 +2*4\\\\P = \frac{285 *2*\pi*4}{360} +2*4\\\\P = \frac{7162.83}{360} +8\\\\P=19.89+8\\\\P=27.89cm$